Prime p₀= 2325116994515395037 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: Orange Kid
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2325114614301687497	0 32 80 92 102 116 146 156 176 186 216 230 240 252 300 332	-2380213707540
STPT(10)	2325114761827914767	0 2 12 14 42 44 72 74 84 86	-2232687480270
STPT(10)	2325115248019542929	0 2 18 20 30 32 42 44 60 62	-1746495852108
STPT(10)	2325115766343429089	0 2 18 20 30 32 42 44 60 62	-1228171965948
SPT(16)	2325116228884302691	0 6 48 52 88 90 112 120 178 186 208 210 246 250 292 298	-765631092346
SPT(16)	2325116675447470477	0 30 34 102 130 132 144 202 222 280 292 294 322 390 394 424	-319067924560
SPT(16)	2325117037692274421	0 26 110 150 168 198 206 222 266 282 290 320 338 378 462 488	43176879384
SPT(16)	2325117059244813791	0 18 38 42 90 126 140 182 216 258 272 308 356 360 380 398	64729418754
STPT(10)	2325117068548361597	0 2 42 44 72 74 102 104 144 146	74032966560
STPT(10)	2325117199834961471	0 2 36 38 78 80 120 122 156 158	205319566434
SPT(16)	2325117940930947769	0 12 22 28 112 124 162 168 244 250 288 300 384 390 400 412	946415552732